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3 years ago

Write the linear equation in the slope-intercept form when m=1 and b=-12

Mathematics

1 answer:

Elena L [17]3 years ago

3 0

Answer:

y = x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = 1 and b = - 12 , thus

y = x - 12 ← equation of line

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Enter the mixed number as an improper fraction. 3 3/5 =

3241004551 [841]

Answer:

18/5

Step-by-step explanation:

6 0

3 years ago

Smplify the expression:<br> 5+6i/4+6i

skelet666 [1.2K]

The answer would be 5 + 15i/2.

1. 5 + 3i/2 + 6i

2. 5 + (3/2i + 6i)

3. 5 + 15i/2.

5 0

3 years ago

!!20 POINTS!! Claire filled up her car with gas before embarking on a road trip across the country. Let G represent the number o

pentagon [3]

Answer:

$G=-\frac{5}{4}t+15$

Slope = $-\frac{5}{4}$

Step-by-step explanation:

Let the equation representing the number of gallons left in the gas tank is,

G = mt + b

Where m = slope of the line

b = y-intercept of the line

Slope of the line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is,

'm' = $\frac{y_2-y_1}{x_2-x_1}$

Slope of the line passing through (8, 5) and (4, 10),

m = $\frac{10-5}{4-8}$

m = - $\frac{5}{4}$

Equation of line will be,

G = $-\frac{5}{4}t+b$

Since, point (8, 5) lies on this line,

5 = $-\frac{5}{4}(8)+b$

5 = -10 + b

b = 15

Therefore equation of the function will be,

G = $-\frac{5}{4}t+15$

Here slope of the function represents the $\frac{5}{4}$ gallons of gas is consumed to drive the car for one hour.

4 0

3 years ago

Please show your work and check!!

ad-work [718]

Step 1. Add 6 to both sides

a ≥ 1 + 6

Step 2. Simplify 1 + 6 to 7

a ≥ 7

4 0

3 years ago

Read 2 more answers

90 POINTS! HELP PLEASE!!!! I need answers to a-e thank you.

polet [3.4K]

Answer:

(a)Equation representing amount of lights on Monday is 2 x + 3 y = 44

(b)Equation representing amount of lights on Tuesday is 5 x + 3 y = 56

(c) Bob uses 4 stands of light on Bushes

and Bob uses 12 strands of lights on trees.

Step-by-step explanation:

Let x = strands of lights on bushes.

Let y = strands of lights on trees.

Bob used 44 strands of light to decorate 2 bushes and 3 trees on Monday.

So, the number of light on 2 bushes = 2x

and the number of light on 3 tress = 3 y

⇒ 2 x + 3 y = 44

Also, On Tuesday, Bob used 56 strands of lights to decorate 5 bushes and 3 trees.

So, the number of light on 5 bushes = 5x

and the number of light on 3 tress = 3 y

⇒ 5 x + 3 y = 56

Now, solving the system of equations:

2 x + 3 y = 44

5 x + 3 y = 56

Subtract equation (2) from (1), we get

2 x + 3 y - (5 x + 3 y) = 44 - 56

or, 2x - 5x = - 12

or, 3x = 12 ⇒ x = 12/3 = 4 or x = 4

Using x = 4 in 2x + 3y = 44

2(4) + 3y = 44

or, 3y = 44- 8 = 36

or y = 36 /3 = 12 or y = 12

So, the value of x = 4, and y = 12

Hence, here Bob uses 4 stands of light on Bushes

and Bob uses 12 strands of lights on trees.

8 0

3 years ago